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Finding the Fourth Proportional to 1,103.33, 1,654.73 and 333.83

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Solution

The fourth proportional to 1,103.33, 1,654.73 and 333.83 is: 500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.33 : 1,654.73 = 333.83 : x
  2. Step 2: Convert to fraction form
    1,103.33/1,654.73 = 333.83/x
  3. Step 3: Cross multiply
    1,103.33x = 1,654.73 × 333.83
  4. Step 4: Simplify right side
    1,103.33x = 552,402.24
  5. Step 5: Solve for x
    x = 552,402.24/1,103.33
  6. Step 6: Final answer
    x = 500.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.